Moment Stability of Explicit Scheme for Nonlinear Stochastic Differential Systems

ABSTRACT This paper proposes a general unifying scheme (GUS) in obtaining the easy‐to‐check moment stability conditions for nonlinear stochastic differential systems (SDSs). The proposed scheme elucidates a bridge between nonlinear SDSs to positive linear systems (PLSs), which enables the ‐moment stability of nonlinear SDSs can be transformed into 1‐moment stability of a related PLS.

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Publication Details

Journal
Mathematical Methods in the Applied Sciences
Published
2025-10-14
DOI
https://doi.org/10.1002/mma.70206
Primary Topic
Stability and Controllability of Differential Equations
Type
article
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article

Moment Stability of Explicit Scheme for Nonlinear Stochastic Differential Systems

Zenghui Hu, Tao Wang, Jiamin Liu
Mathematical Methods in the Applied Sciences
Stability and Controllability of Differential Equations
article

Moment Stability of Explicit Scheme for Nonlinear Stochastic Differential Systems

Zenghui Hu, Tao Wang, Jiamin Liu
article en

Abstract

ABSTRACT This paper proposes a general unifying scheme (GUS) in obtaining the easy‐to‐check moment stability conditions for nonlinear stochastic differential systems (SDSs). The proposed scheme elucidates a bridge between nonlinear SDSs to positive linear systems (PLSs), which enables the ‐moment stability of nonlinear SDSs can be transformed into 1‐moment stability of a related PLS.

Mathematical Methods in the Applied SciencesVol. 49(2)
Jimei University (CN), Jilin University (CN), Zhengzhou University (CN)
Openalex Percentile: Top 63%
Stability and Controllability of Differential Equations
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